Use the formula for the area of a rectangle A=lw
 to answer the question.

A rectangle has a width of n units. Its length is 4 units longer than the width.

What is the area of the rectangle?

Responses

n(n+4)
n ( n + 4 )

4n

4 n

2 + 4n

2 + 4 n

2n + 4

To solve the problem, we need to use the formula for the area of a rectangle:

\[
A = l \times w
\]

where:
- \( A \) is the area of the rectangle,
- \( l \) is the length of the rectangle, and
- \( w \) is the width of the rectangle.

**Given:**
- The width \( w \) is \( n \) units.
- The length \( l \) is 4 units longer than the width, which means \( l = n + 4 \).

**Substitute these values into the area formula:**

\[
A = l \times w = (n + 4) \times n
\]

Simplify the expression:

\[
A = n(n + 4)
\]

Therefore, the correct answer for the area of the rectangle is:

\[
\boxed{n(n + 4)}
\]

Would you like more details or have any questions?

### Related Questions:

1. How would the area formula change if the length was 5 units longer than the width?
2. If the width of the rectangle is 3 units, what is the numerical value of the area?
3. How do you determine the perimeter of this rectangle?
4. If the area of the rectangle is 24 square units, how do you solve for \( n \)?
5. What are the possible dimensions of a rectangle if its area is given as a function of \( n \)?

**Tip:** Remember to always define your variables and relationships clearly when solving geometry problems!

Learn how to calculate the area of a rectangle using the formula A = l \times w, where l is the length and w is the width. This problem involves determining the area of a rectangle with a width of n units and a length that is 4 units longer than the width. Suitable for students in Grades 7-9.

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